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345858513 = 372111316453
BaseRepresentation
bin10100100111010…
…110000111010001
3220002210102200120
4110213112013101
51202014433023
654152540453
711366514600
oct2447260721
9802712616
10345858513
11168256690
12979b1729
1356866110
1433d0da37
152056b8e3
hex149d61d1

345858513 has 48 divisors (see below), whose sum is σ = 630254016. Its totient is φ = 165836160.

The previous prime is 345858497. The next prime is 345858533. The reversal of 345858513 is 315858543.

It is not a de Polignac number, because 345858513 - 24 = 345858497 is a prime.

It is a super-2 number, since 2×3458585132 = 239236222029142338, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (345858533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12795 + ... + 29247.

It is an arithmetic number, because the mean of its divisors is an integer number (13130292).

Almost surely, 2345858513 is an apocalyptic number.

345858513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345858513 is a deficient number, since it is larger than the sum of its proper divisors (284395503).

345858513 is a wasteful number, since it uses less digits than its factorization.

345858513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16494 (or 16487 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 345858513 is about 18597.2716547347. The cubic root of 345858513 is about 701.9391896254.

It can be divided in two parts, 345 and 858513, that added together give a palindrome (858858).

The spelling of 345858513 in words is "three hundred forty-five million, eight hundred fifty-eight thousand, five hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 16453 21021 49359 115171 180983 213889 345513 542949 641667 806197 1266881 1497223 2352779 2418591 3800643 4491669 7058337 8868167 10480561 16469453 26604501 31441683 49408359 115286171 345858513